scientific article

Benjamin Weiss, Hillel Furstenberg, Yitzhak Katznelson

Publication date: 26 June 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

configurations ergodic theory geometric Ramsey theory sets of positive density

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Density, gaps, topology (11B05) Ramsey theory (05D10)

Related Items (54)

Dot-product sets and simplices over finite rings ⋮ A Szemerédi-type theorem for subsets of the unit cube ⋮ Density theorems for anisotropic point configurations ⋮ Finite point configurations and the regular value theorem in a fractal setting ⋮ Rigidity, Graphs and Hausdorff Dimension ⋮ Recent trends in Euclidean Ramsey theory ⋮ Pointwise ergodic theorems for radial averages on simple Lie groups. I ⋮ Some open problems on multiple ergodic averages ⋮ Discrete maximal operators over surfaces of higher codimension ⋮ Weak hypergraph regularity and applications to geometric Ramsey theory ⋮ Open sets avoiding integral distances ⋮ On Erd\H{o}s Chains in the Plane ⋮ On sets of directions determined by subsets of $\mathbb R^d$ ⋮ Multiple ergodic averages for flows and an application ⋮ A Ramsey property of order types ⋮ Fourier analysis, linear programming, and densities of distance avoiding sets in $\mathbb R^n$ ⋮ Quantitative multiple mixing ⋮ Coloring distance graphs on the plane ⋮ Equilateral triangles in subsets of $\mathbb{R}^d$ of large Hausdorff dimension ⋮ The density of sets containing large similar copies of finite sets ⋮ Finite point configurations in products of thick Cantor sets and a robust nonlinear Newhouse Gap Lemma ⋮ On some properties of sparse sets: a survey ⋮ A Furstenberg-Katznelson-Weiss type theorem on $(d+1)$-point configurations in sets of positive density in finite field geometries ⋮ Geometrical sets with forbidden configurations ⋮ Incidence problems in harmonic analysis, geometric measure theory, and ergodic theory. Abstracts from the workshop held June 4--9, 2023 ⋮ Odd distances in colourings of the plane ⋮ Pinned distance sets, $k$-simplices, Wolff's exponent in finite fields and sum-product estimates ⋮ Simplices over finite fields ⋮ Simplices and sets of positive upper density in $\mathbb {R}^d$ ⋮ $L^p$ estimates for bilinear generalized Radon transforms in the plane ⋮ Distances and trees in dense subsets of $\mathbb{Z}^d$ ⋮ Spectral bounds for the independence ratio and the chromatic number of an operator ⋮ An application of ergodic theory to a problem in geometric Ramsey theory ⋮ Existence of similar point configurations in thin subsets of $\mathbb{R}^d$ ⋮ On a Furstenberg-Katznelson-Weiss type theorem over finite fields ⋮ Higher Order Correlations for Group Actions ⋮ On distance sets of large sets of integer points ⋮ Monopoles, dipoles, and harmonic functions on Bratteli diagrams ⋮ A note on configurations in sets of positive density which occur at all large scales ⋮ Ubiquity of simplices in subsets of vector spaces over finite fields ⋮ Boxes, extended boxes and sets of positive upper density in the Euclidean space ⋮ Colorings of the space $\mathbb R^{n}$ with several forbidden distances ⋮ Measurable sets with excluded distances ⋮ Nilfactors of $\mathbb R^m$ and configurations in sets of positive upper density in $\mathbb R^m$ ⋮ Density modulo 1 of lacunary and sublacunary sequences: application of Peres-Schlag's construction ⋮ Harmonic Analysis and Pointwise Ergodic Theorems for Noncommuting Transformations ⋮ A note on the pyjama problem ⋮ Sets in ℝ^{𝕕} with slow-decaying density that avoid an unbounded collection of distances ⋮ Distances in positive density sets in $\mathbb R^d$ ⋮ WM groups and Ramsey theory ⋮ Patterns in sets of positive density in trees and affine buildings ⋮ Exploring the toolkit of Jean Bourgain ⋮ Three-point configurations determined by subsets of ${\mathbb{F}_q}^2$ via the Elekes-Sharir paradigm ⋮ Complete positivity and distance-avoiding sets

This page was built for publication: